Atkin-Lehner |
2+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
116200k |
Isogeny class |
Conductor |
116200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1866240 |
Modular degree for the optimal curve |
Δ |
-6698698762000000000 = -1 · 210 · 59 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87992,124147488] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:6916:1] [-132:10500:1] |
Generators of the group modulo torsion |
j |
4708996427516/418668672625 |
j-invariant |
L |
8.8389080994741 |
L(r)(E,1)/r! |
Ω |
0.18144047187059 |
Real period |
R |
0.67659994057223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23240f1 |
Quadratic twists by: 5 |